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This research paper investigates the bioconvection magneto hydrodynamics (MHD) squeezing nanofluid flow between two parallel plates. One of the plates is stretched and the other is kept fixed. In this study the water is taken as a base fluid because it is a favorable fluid for living microorganisms. Appropriate variables lead to a strong nonlinear ordinary differential system. The obtained nonlinear system has been solved via homotopy analysis method (HAM). The significant influences of thermophoresis and Brownian motion have also been taken in nanofluid model. The convergence of the method has been shown numerically. The variation of the Skin friction, Nusselt number, Sherwood number and their effects on the velocity, concentration, temperature and the density motile microorganism profiles are examined. It is observed that increasing thermal radiation augmented the temperature of the boundary layer area in fluid layer. This increase leads to drop in the rate of cooling for nanofluid flow. An interesting variation are inspected for the density of the motile microorganisms due to the varying bioconvection parameter in suction and injection cases. Furthermore, for comprehension the physical presentation of the embedded parameters, such as unsteady squeezing parameter (λ ) , Thermal radiation parameter (Rd), Peclet number (Pe), Thermophoresis parameter (Nt), Levis number (Le) , Prandtl number (Pr), Schmidt number (Sc)and Brownian motion parameter (Nb) are plotted and discussed graphically. At the end, we made some concluding remarks in the light of this research article.

Syed Asif Hussain, Gohar Ali, Syed Inayat Ali Shah, Sher Muhammad. (2019) Bioconvection Model for Magneto Hydrodynamics Squeezing Nanofluid Flow with Heat and Mass Transfer Between Two Parallel Plates Containing Gyrotactic Microorganisms Under the Influence of Thermal Radiations, Punjab University Journal of Mathematics, Volume 51, Issue 4.
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